For a function f(x), if there is a positive number t, so that when x takes every value in the domain, there is f(x+T)=f(x), then this function f(x) is called a periodic function. A positive number t is called the period of this function.

For the function f(x)=Asin(ωx+φ), the minimum positive period of the function f(x) is T=2π/|ω|.

For the function f(x)=Atan(ωx+φ), the minimum positive period of the function f(x) is T=π/|ω|.

If f(x+2)=-f(x-2) is subtracted from parentheses to become a constant value, then the period t of this value f(x) is 4.

The essence of periodic function: when the difference between the two independent variables is equal to the multiple of the period, the function values of the two independent variables are equal. such as

F( x+6) =f( x-2) then the function period is T=8.

Physical quantity of alternating current cycle

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The time required for sine alternating current to complete a periodic change is called a period, which is expressed by the letter T and the unit is seconds (s). Obviously, the time interval between two adjacent maxima (or two adjacent minima) of sinusoidal alternating current or voltage is a period.

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The names of people or things in a certain period of time can be set by natural laws or artificially.